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Inverse Trigonometric Functions — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsInverse Trigonometric Functions2 Marks
Question
Find the domain of the following functions:
$\text{f(x)}=\sin^{-1}\text{x}^2$
✓

Answer

To the domain of $\sin^{-1}y$ which is $[-1, 1]$
$\therefore  x^2  \in  [0, 1]$ as  can, not be negative
$\because x \in [-1, 1]$
Hence, the domaine is $[-1, 1]$

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